148057911275520 has 1248 divisors, whose sum is σ = 552779173255680. Its totient is φ = 33671495024640.

The previous prime is 148057911275471. The next prime is 148057911275569. The reversal of 148057911275520 is 25572119750841.

148057911275520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148057911275471) and next prime (148057911275569).

It is a super-2 number, since 2×148057911275520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7759432380 + ... + 7759451460.

Almost surely, 2^{148057911275520} is an apocalyptic number.

148057911275520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148057911275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276389586627840).

148057911275520 is an abundant number, since it is smaller than the sum of its proper divisors (404721261980160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148057911275520 is a wasteful number, since it uses less digits than its factorization.

148057911275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19189 (or 19150 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 57.

The spelling of 148057911275520 in words is "one hundred forty-eight trillion, fifty-seven billion, nine hundred eleven million, two hundred seventy-five thousand, five hundred twenty".